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Array read by rows: row n (n>= 1) gives the Betti numbers for the n-th element of the Weyl group of type A3 (in Goresky's standard ordering).
12

%I #7 Apr 14 2023 09:46:01

%S 1,1,1,1,1,1,1,1,2,1,1,2,1,1,2,1,1,2,1,1,2,1,1,2,2,1,1,3,3,1,1,3,3,1,

%T 1,3,3,1,1,2,2,1,1,3,3,1,1,3,4,3,1,1,3,4,3,1,1,3,4,3,1,1,3,5,4,1,1,3,

%U 4,3,1,1,3,5,5,3,1,1,3,5,6,4,1,1,3,5,5,3,1,1,3,5,6,5,3,1

%N Array read by rows: row n (n>= 1) gives the Betti numbers for the n-th element of the Weyl group of type A3 (in Goresky's standard ordering).

%C The array has 24 rows.

%H Mark Goresky, <a href="http://www.math.ias.edu/~goresky/tables.html">Tables of Kazhdan-Lusztig polynomials</a>

%H <a href="/index/Gre#groups">Index entries for sequences related to groups</a>

%e Array begins:

%e 1

%e 1 1

%e 1 1

%e 1 1

%e 1 2 1

%e 1 2 1

%e 1 2 1

%e 1 2 1

%e 1 2 1

%e 1 2 2 1

%e 1 3 3 1

%e 1 3 3 1

%e 1 3 3 1

%Y Cf. A115571-A115583.

%K nonn,tabf,fini,full

%O 1,9

%A _Roger L. Bagula_, Mar 02 2006